Radio Propagation Fundamentals
LTE RPESS Radio Propagation Fundamentals
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Radio Propagation Fundamentals
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Radio Propagation Fundamentals
Module Objectives After completing this module, the participant should be able to:
• Understand basic radio propagation mechanisms • Understand fading phenomena • Calculate free space loss
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Radio Propagation Fundamentals
Module Contents Propagation mechanisms Multipath And Fading Propagation Slope And Different Environments
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Radio Propagation Fundamentals
Module Contents Propagation mechanisms
• • • • •
Basics: deciBel (dB) Radio channel Reflections Diffractions Scattering
Multipath And Fading Propagation Slope And Different Environments
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Radio Propagation Fundamentals
deciBel (dB) – Definition Power
P dB = 10 log P 0
P(dB)
[ P lin. ] = 10
10
Voltages
E dB = 20 log E 0
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E (dB)
[ E lin. ] = 10
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Radio Propagation Fundamentals
deciBel (dB) – Conversion Calculations in dB (deciBel) • Logarithmic scale always with respect to a reference • dBW = dB above Watt dB above mWatt • dBm = = dB above isotropic • dBi = dB above dipole • dBd dB above µV/m • dBµV/m = Rule-of-thumb: factor 2 • +3dB = factor 5 • +7 dB = factor 10 • +10 dB = factor 1/2 • -3dB = • -7 dB = factor 1/5 • -10 dB = factor 1/10
-30 dBm = 1 µW -20 dBm = 10 µW -10 dBm = 100 µW -7 dBm = 200 µW -3 dBm = 500 µW
0 dBm = 1 mW +3 dBm = 2 mW +7 dBm = 5 mW +10 dBm = 10 mW +13 dBm = 20 mW +20 dBm = 100mW +30 dBm = 1 W +40 dBm = 10W +50 dBm = 100W
LTE: UE: max. 23 dBm eNB: typ. 43 / 46 dBm 7
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Radio Propagation Fundamentals
Radio Channel – Main Characteristics Linear
• In field strength Reciprocal
Remember:
• UL & DL channel same (if in same frequency)
Multipath Effects
Dispersive
→
Normal / Extended CP
• In time (echo, multipath propagation) • In spectrum (wideband channel)
direct path a m p l i t u d e
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echoes
delay time
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Radio Propagation Fundamentals
Propagation Mechanisms – (1/2) Free-space propagation
• Signal strength decreases exponentially with distance
D
Reflection Specular reflection phase f
polarisation
material dependant
amplitude A
a*A (a < 1) - f
phase shift
specular reflection
Diffuse reflection amplitude A phase f phase polarisation 9
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a *A (a < 1) random
diffuse reflection
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Radio Propagation Fundamentals
Propagation Mechanisms – (2/2) Absorption • Heavy amplitude attenuation • Material dependant phase shifts
A
A - 5..30 dB
• Depolarisation
Diffraction • Wedge - model • Knife edge • Multiple knife edges
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Radio Propagation Fundamentals
Scattering – Macrocell Scattering local to mobile
• Causes fading • Small delay and angle spreads • Doppler spread causes time varying
Scattering to base station
effects Scattering local to base station
• No additional Doppler spread • Small delay spread • Large angle spread
Scattering to mobile
Remote scattering
• • • •
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Independent path fading No additional Doppler spread Large delay spread Large angle spread
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Remote scattering
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Radio Propagation Fundamentals
Scattering – Microcell Many local scatterers: Large angle spread Low delay spread Medium or high Doppler spread
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Radio Propagation Fundamentals
Module Contents Reflections, Diffractions And Scattering Multipath and Fading
• • • •
Delay – Time dispersion Angle – Angular Spread Frequency – Doppler Spread Fading – Slow & Fast
Propagation Slope And Different Environments
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Radio Propagation Fundamentals
Multipath propagation Radio signal propagates from A to B over multiple paths using different propagation mechanisms
• Multipath Propagation • Received signal is a sum of multipath signals Different radio paths have different properties
• Distance Delay/Time • Direction Angle • Direction & Receiver/Transmitter Movement
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Frequency
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Radio Propagation Fundamentals
Delay – Time dispersion Multipath delays due to multipath propagation
• 1 µs ≅ 300 m path difference LTE CP to mitigate multipath effects
• CP (normal or extended) covers some 1.4 km or 20 km delay respectively • Standardized delay profiles in 3GPP specs: – – – –
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TU3
typical urban at 3 km/h (pedestrians)
TU50
typical urban at 50 km/h (cars)
HT100
hilly terrain (road vehicles, 100 km/h)
RA250
rural area (highways, up to 250 km/h)
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Radio Propagation Fundamentals
Delay Spread
Multipath propagation
1.
P
Channel impulse response 1.
=>
2. 3. 4.
2.
t
f1
4th floor
f1
3rd floor
f1
2nd floor
f1
1st floor
BTS
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Delayed components in DAS (Distributed antenna systems)
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Radio Propagation Fundamentals
Delay Spread
Typical values
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Environment
Delay Spread (µs)
Macrocellular, urban
0.5-3
Macrocellular, suburban Macrocellular, rural
0.5
Macrocellular, HT
3-10
Microcellular
< 0.1
Indoor
0.01...0.1
0.1-0.2
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Radio Propagation Fundamentals
Angle – Angular Spread Angular spread arises due to multipath, both from local scatterers near the mobile and near the base station and remote scatterers Angular spread is a function of base station location, distance and environment Angular Spread has an effect mainly on the performance of diversity reception and adaptive antennas
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Radio Propagation Fundamentals
Angular Spread Macrocell Antenna
Macrocellular Environment = Macrocell Coverage Area
Microcell Antenna Microcellular Environment = Microcell Coverage Area
5 - 10 degrees in macrocellular environment >> 10 degrees in microcellular environment < 360 degrees in indoor environment
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Radio Propagation Fundamentals
Frequency – Doppler Spread With a moving transmitter or receiver, the frequency observed by the receiver will change (Doppler effect)
• Rise if the distance on the radio path is decreasing • Fall if the distance in the radio path is increasing The difference between the highest and the lowest frequency shift is called Doppler spread
f d =
v: c: f:
20
v
λ
=
v c f
Speed of receiver (m/s) Speed of light (3*108 m/s) Frequency (Hz)
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Radio Propagation Fundamentals
Fading Fading describes the variation of the total pathloss ( signal level) when receiver/transmitter moves in the cell coverage area Fading is commonly categorised to two categories based on the phenomena causing it
• Slow fading: Caused by shadowing because of obstacles • Fast fading: Caused by multipath propagation Time-selective fading: Short delay + Doppler Frequency-selective fading: Long delay Space-selective fading: Large angle
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Radio Propagation Fundamentals
Fading – Slow & Fast
power
Rayleigh fading
+20 dB
lognormal fading
mean value
- 20 dB
2 sec
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4 sec
6 sec
time
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Radio Propagation Fundamentals
Slow Fading – Gaussian Distribution Measurement campaigns have shown that slow fading follows Gaussian distribution
• Received signal strength in dB scale (e.g. dBm, dBW) Gaussian distribution is described by mean va lue m, standard deviation σ
• 68% of values are within m ±σ • 95% of values are within m ±2σ Gaussian distribution used in planning margin calculations
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Radio Propagation Fundamentals
Slow Fading – Gaussian Distribution Normal / Gaussian Distributio n Standard Deviation, = 7 dB 0.07000
1 0.06000
2
2πσ
Normal / Gaussian Distribution 0.05000
0.04000
•d
0.03000
0.02000
0.01000
0.00000 -25
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-20
-15
-10
-5
0
5
10
15
20
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Radio Propagation Fundamentals
Fast Fading Different signal paths interfere and affect the received signal • Rice Fading – the dominant (usually LOS) path exist
• Rayleigh Fading – no dominant path exist
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Radio Propagation Fundamentals
Fast Fading – Rayleigh Distribution It can be theoretically shown that fast fading follows Rayleigh Distribution when there is no single dominant multipath component
• Applicable to fast fading in obstructed paths • Valid for signal level in linear scale (e.g. mW, W)
level (dB) +10 0 -10 -20 -30
0
1
2
3
4
5m
920 MHz v = 20 km/h 26
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Radio Propagation Fundamentals
Fast Fading – Rician Distribution Fast fading follows Rician distribution when there is a dominant multipath component, for example line-of-sight component combined with in-direct components
• Sliding transition between Gaussian and Rayleigh • “Rice-factor” K = r/A: direct / indirect signal energy K=0 Rayleigh K >>1 Gaussian K=0 (Rayleigh) K=1 K=5
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Radio Propagation Fundamentals
Module Contents Reflections, Diffractions And Scattering Multipath And Fading Propagation Slope And Different Environments
• Free Space Loss • Received power with antenna gain • Propagation slope
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Radio Propagation Fundamentals
Free Space Loss Free space loss proportional to 1/d 2
• Simplified case: isotropic antenna • Which part of total radiated power is found within surface A? • Power density S = P/A = P / 4 πd 2 Received power within surface A : P = P/A * A • Received power reduces with square of distance ´
´
´
Surface A = 4π * d 2
A´´ = 16*A A´ = 4*A
d assume surface A´= 1m2
A d 2d 4d
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Radio Propagation Fundamentals
Received power with antenna gain
P s
Power density at the receiving end
S =
Effective receiver antenna area
λ 2 A eff = G R 4 π
Received power
P r = Aeff S
4π d 2
G s λ = G s Gr P s 4π d
P r
P s
P r
As
Ar
Gs
Gr
2
d
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